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Finding the Fourth Proportional to 955.20, 1,317.45 and 822.65

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Solution

The fourth proportional to 955.20, 1,317.45 and 822.65 is: 1,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.20 : 1,317.45 = 822.65 : x
  2. Step 2: Convert to fraction form
    955.20/1,317.45 = 822.65/x
  3. Step 3: Cross multiply
    955.20x = 1,317.45 × 822.65
  4. Step 4: Simplify right side
    955.20x = 1,083,800.24
  5. Step 5: Solve for x
    x = 1,083,800.24/955.20
  6. Step 6: Final answer
    x = 1,134.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.